221715666432 has 960 divisors, whose sum is σ = 772150579200. Its totient is φ = 60630958080.

The previous prime is 221715666379. The next prime is 221715666467. The reversal of 221715666432 is 234666517122.

221715666432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221715666432² (a number of 23 digits) contains 22 as substring.

Its product of digits (725760) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1238634919 + ... + 1238635097.

It is an arithmetic number, because the mean of its divisors is an integer number (804323520).

Almost surely, 2^221715666432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221715666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386075289600).

221715666432 is an abundant number, since it is smaller than the sum of its proper divisors (550434912768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221715666432 is a wasteful number, since it uses less digits than its factorization.

221715666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 221715666432 in words is "two hundred twenty-one billion, seven hundred fifteen million, six hundred sixty-six thousand, four hundred thirty-two".